Semifield planes of order p 4 and kernel GF(p 2)

In this article we determine the number of non-isomorphic semifield planes of order p⁴ and kernel GF(p²) for p prime, 3 ≤ p ≤ 11. We show that for each of these values of p, the plane is either desarguesian, p-primitive, or a generalized twisted field plane. We also show that the class of p-primitive planes is the largest. We also discuss the autotopism group of the semifields under study.